mulMap_comm — Mathlib

English

There is a commutativity relation for mulMap: mulMap N M equals mulMap M N composed with TensorProduct.comm.

Русский

Существует тождество пересечения mulMap: mulMap N M равно mulMap M N, композиция с TensorProduct.comm.

LaTeX

$$mulMap N M = (mulMap M N).comp (TensorProduct.comm R N M).toLinearMap$$

Lean4

theorem mulMap_comm : mulMap N M = (mulMap M N).comp (TensorProduct.comm R N M).toLinearMap :=
  mulMap_comm_of_commute M N fun _ _ ↦ mul_comm _ _

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